Carefully check the low notes from 'C' down to 'Bb' for intonation (sharpness)...also...you may (probably) have to use a fairly large chamber mouthpiece just to keep the overall pitch center down. For my credentials to offer these opinions - I have owned and played a 1940 BA Tenor since 1980...
Where do you live in Florida ? An SOTW member who goes by 'Saxtek' is not too surprisingly a Saxophone technician and he lives somewhere in Florida. He is also a professional Sax player and would be a good choice to evaluate this horn if you live anywhere near him.
Had same year vintage BA Tenor which I sold 3 years ago for a ref 36. My BA tenor had nice sound qualities for sure but bottom end intonation as mentioned by Tharrfuff and overall playablity sound and ergos compared to ref 36 was no comparison
But to each his own.
BTW I still play a BA alto 1938 vintage which I would never sell, but was never really atisfied with the BA tenor. erhaps the one you are looking at is better.
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